what does the transformation f(x) → 1/2f(x) do to the graph of f(x)? shrinks it horizontally stretches it…

what does the transformation f(x) → 1/2f(x) do to the graph of f(x)? shrinks it horizontally stretches it horizontally stretches it vertically shrinks it vertically

what does the transformation f(x) → 1/2f(x) do to the graph of f(x)? shrinks it horizontally stretches it horizontally stretches it vertically shrinks it vertically

Answer

Brief Explanations:

For a function $y = f(x)$, when we transform it to $y=\frac{1}{2}f(x)$, for each $x$-value, the $y$-value of the new - function is half of the $y$-value of the original function. This means that the graph is compressed or shrunk vertically. Horizontal transformations are related to changes inside the function (like $f(ax)$ for $a\neq0$), and vertical transformations are related to changes outside the function (like $af(x)$ for $a\neq0$). When $|a|< 1$ (here $a = \frac{1}{2}$), it shrinks the graph vertically.

Answer:

shrinks it vertically